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Assertion (A): For pressure ratio greater than the critical pressure ratio, a convergent-divergent nozzle is required.  
Reason (R): Divergent portion increases the flow area which increasesthe mass flow rate.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): For pressure ratio greater than the critical pressure r...
Ans. (c) A is correct but R is wrong.
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Assertion (A): For pressure ratio greater than the critical pressure r...
Assertion (A): Overview
The assertion states that for a pressure ratio greater than the critical pressure ratio, a convergent-divergent nozzle is required. This is true because:
- Critical Pressure Ratio: The critical pressure ratio is the threshold at which the flow becomes choked. Beyond this point, a convergent-divergent nozzle is needed to achieve supersonic speeds.
- Flow Conditions: In a convergent nozzle, the flow reaches Mach 1 at the throat, while in a divergent section, it can expand to supersonic speeds.
Reason (R): Analysis
The reason states that the divergent portion of the nozzle increases the flow area, which increases the mass flow rate. However, this statement is misleading:
- Mass Flow Rate: While it is true that a divergent section allows for increased flow area, the mass flow rate is not solely about the area. It also depends on the pressure and temperature conditions of the flow.
- Choked Flow: When the flow is choked, the mass flow rate is determined primarily by the throat area and upstream conditions, not merely by the divergent section.
Conclusion on Options
- Option C: A is true (a convergent-divergent nozzle is required for a pressure ratio greater than critical), but R is false (the reason does not accurately explain why a divergent section is needed).
- The correct interpretation is that while the divergent section facilitates supersonic flow, it does not directly increase mass flow rate in the manner described.
Thus, the correct answer is option 'C'.
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Assertion (A): For pressure ratio greater than the critical pressure ratio, a convergent-divergent nozzle is required.Reason (R): Divergent portion increases the flow area which increasesthe mass flow rate.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
Question Description
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